105468552 has 48 divisors (see below), whose sum is σ = 326451840. Its totient is φ = 30133728.

The previous prime is 105468533. The next prime is 105468553. The reversal of 105468552 is 255864501.

It is a super-2 number, since 2×105468552² = 22247230921953408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105468553) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104128 + ... + 105135.

It is an arithmetic number, because the mean of its divisors is an integer number (6801080).

Almost surely, 2^105468552 is an apocalyptic number.

105468552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105468552 is an abundant number, since it is smaller than the sum of its proper divisors (220983288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105468552 is a wasteful number, since it uses less digits than its factorization.

105468552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209282 (or 209275 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 105468552 is about 10269.7883133003. The cubic root of 105468552 is about 472.4700980489.

The spelling of 105468552 in words is "one hundred five million, four hundred sixty-eight thousand, five hundred fifty-two".